bezier_curves.h

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#ifndef BEZIER_CURVES_H
#define BEZIER_CURVES_H
 
#include <vector>
#include <math/vector2d.h>
 
template <typename T> class ELLIPSE;
 
class BEZIER_POLY
{
public:
 BEZIER_POLY( const VECTOR2I& aStart, const VECTOR2I& aCtrl1,
 const VECTOR2I& aCtrl2, const VECTOR2I& aEnd );
 
 BEZIER_POLY( const std::vector<VECTOR2I>& aControlPoints );
 
 BEZIER_POLY( const std::vector<VECTOR2D>& aControlPoints )
 : m_ctrlPts( aControlPoints )
 {
 m_minSegLen = 0.0;
 }
 
 void GetPoly( std::vector<VECTOR2I>& aOutput, int aMaxError = 10 );
 void GetPoly( std::vector<VECTOR2D>& aOutput, double aMaxError = 10.0 );
 
private:
 
 void getQuadPoly( std::vector<VECTOR2D>& aOutput, double aMaxError );
 void getCubicPoly( std::vector<VECTOR2D>& aOutput, double aMaxError );
 
 int findInflectionPoints( double& aT1, double& aT2 );
 int numberOfInflectionPoints();
 
 double thirdControlPointDeviation();
 
 void subdivide( double aT, BEZIER_POLY& aLeft, BEZIER_POLY& aRight );
 void recursiveSegmentation( std::vector<VECTOR2D>& aOutput, double aMaxError );
 
 void cubicParabolicApprox( std::vector<VECTOR2D>& aOutput, double aMaxError );
 
 bool isNaN() const;
 
 bool isFlat( double aMaxError ) const;
 
 VECTOR2D eval( double t );
 
 double m_minSegLen;
 
 std::vector<VECTOR2D> m_ctrlPts;
};
 
 
// TODO: Refactor BEZIER_POLY to use BEZIER
 
template <typename NumericType>
class BEZIER
{
public:
 BEZIER() = default;
 
 BEZIER( VECTOR2<NumericType> aStart, VECTOR2<NumericType> aC1, VECTOR2<NumericType> aC2,
 VECTOR2<NumericType> aEnd ) :
 Start( aStart ),
 C1( aC1 ),
 C2( aC2 ),
 End( aEnd )
 {}
 
 VECTOR2<NumericType> Start;
 VECTOR2<NumericType> C1;
 VECTOR2<NumericType> C2;
 VECTOR2<NumericType> End;
};
 
template<typename T>
void TransformEllipseToBeziers( const ELLIPSE<T>& aEllipse, std::vector<BEZIER<T>>& aBeziers );
 
#endif // BEZIER_CURVES_H